{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:MYSLIW3H6L7LYA5N7T74JLLOXB","short_pith_number":"pith:MYSLIW3H","canonical_record":{"source":{"id":"0808.0504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-04T20:08:36Z","cross_cats_sorted":[],"title_canon_sha256":"5a7f973c138fe60c662932e3878b2a6258db464a5a0d20fa3a58254d625a69ca","abstract_canon_sha256":"71ed304e7f99e2c16824d622b138112a45e82613e763409ae1723cffd3ba70fd"},"schema_version":"1.0"},"canonical_sha256":"6624b45b67f2febc03adfcffc4ad6eb86725bc4d033f6fc67b3d2da8f32f2da7","source":{"kind":"arxiv","id":"0808.0504","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.0504","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"arxiv_version","alias_value":"0808.0504v1","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.0504","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"pith_short_12","alias_value":"MYSLIW3H6L7L","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"MYSLIW3H6L7LYA5N","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"MYSLIW3H","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:MYSLIW3H6L7LYA5N7T74JLLOXB","target":"record","payload":{"canonical_record":{"source":{"id":"0808.0504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-04T20:08:36Z","cross_cats_sorted":[],"title_canon_sha256":"5a7f973c138fe60c662932e3878b2a6258db464a5a0d20fa3a58254d625a69ca","abstract_canon_sha256":"71ed304e7f99e2c16824d622b138112a45e82613e763409ae1723cffd3ba70fd"},"schema_version":"1.0"},"canonical_sha256":"6624b45b67f2febc03adfcffc4ad6eb86725bc4d033f6fc67b3d2da8f32f2da7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:45.771430Z","signature_b64":"ze8kbBSvK091a+GlazhU+yX/O0oJBZPRWvFB/8vMgyjM63XB+KX7XfcCifNFe0RD03somB733ZEHWTIDF86XDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6624b45b67f2febc03adfcffc4ad6eb86725bc4d033f6fc67b3d2da8f32f2da7","last_reissued_at":"2026-05-18T04:27:45.770829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:45.770829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.0504","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:27:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+l2O4t4QqlnF8Z+Ez0g7iV1AN3F2af/NRP++MY3rwcwIsYFbV1orNhvpWya+oTX6wc0j5ktRSOQR12DB+ZOUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:58:32.702053Z"},"content_sha256":"6c291cd230c5b7f2298c9cc2e520b366029b11a1c7aab0cc2768b22e5333f871","schema_version":"1.0","event_id":"sha256:6c291cd230c5b7f2298c9cc2e520b366029b11a1c7aab0cc2768b22e5333f871"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:MYSLIW3H6L7LYA5N7T74JLLOXB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On-Shell Recursion Relations for Generic Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Clifford Cheung","submitted_at":"2008-08-04T20:08:36Z","abstract_excerpt":"We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at least one gluon obeys a recursion relation. In (super)gravity coupled to scalars and fermions, the same holds for any amplitude with at least one graviton. This result pertains to a broad class of theories, including QCD, N=4 SYM, and N=8 supergravity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.0504","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:27:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h8GFUp5vKQOhauPWY5Jta5OVWGBuJBHVc+DpEe4jg1RXIfWdZWx4tUVCPwxoSwJOfzBSvmjm50XjYm/51qbvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:58:32.702640Z"},"content_sha256":"6de433ca39860227d5df1f1fec97be407de85dc652c271b88861de17fb68ec29","schema_version":"1.0","event_id":"sha256:6de433ca39860227d5df1f1fec97be407de85dc652c271b88861de17fb68ec29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MYSLIW3H6L7LYA5N7T74JLLOXB/bundle.json","state_url":"https://pith.science/pith/MYSLIW3H6L7LYA5N7T74JLLOXB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MYSLIW3H6L7LYA5N7T74JLLOXB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T03:58:32Z","links":{"resolver":"https://pith.science/pith/MYSLIW3H6L7LYA5N7T74JLLOXB","bundle":"https://pith.science/pith/MYSLIW3H6L7LYA5N7T74JLLOXB/bundle.json","state":"https://pith.science/pith/MYSLIW3H6L7LYA5N7T74JLLOXB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MYSLIW3H6L7LYA5N7T74JLLOXB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:MYSLIW3H6L7LYA5N7T74JLLOXB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"71ed304e7f99e2c16824d622b138112a45e82613e763409ae1723cffd3ba70fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-04T20:08:36Z","title_canon_sha256":"5a7f973c138fe60c662932e3878b2a6258db464a5a0d20fa3a58254d625a69ca"},"schema_version":"1.0","source":{"id":"0808.0504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.0504","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"arxiv_version","alias_value":"0808.0504v1","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.0504","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"pith_short_12","alias_value":"MYSLIW3H6L7L","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"MYSLIW3H6L7LYA5N","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"MYSLIW3H","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:6de433ca39860227d5df1f1fec97be407de85dc652c271b88861de17fb68ec29","target":"graph","created_at":"2026-05-18T04:27:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at least one gluon obeys a recursion relation. In (super)gravity coupled to scalars and fermions, the same holds for any amplitude with at least one graviton. This result pertains to a broad class of theories, including QCD, N=4 SYM, and N=8 supergravity.","authors_text":"Clifford Cheung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-04T20:08:36Z","title":"On-Shell Recursion Relations for Generic Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.0504","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6c291cd230c5b7f2298c9cc2e520b366029b11a1c7aab0cc2768b22e5333f871","target":"record","created_at":"2026-05-18T04:27:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"71ed304e7f99e2c16824d622b138112a45e82613e763409ae1723cffd3ba70fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-04T20:08:36Z","title_canon_sha256":"5a7f973c138fe60c662932e3878b2a6258db464a5a0d20fa3a58254d625a69ca"},"schema_version":"1.0","source":{"id":"0808.0504","kind":"arxiv","version":1}},"canonical_sha256":"6624b45b67f2febc03adfcffc4ad6eb86725bc4d033f6fc67b3d2da8f32f2da7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6624b45b67f2febc03adfcffc4ad6eb86725bc4d033f6fc67b3d2da8f32f2da7","first_computed_at":"2026-05-18T04:27:45.770829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:45.770829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ze8kbBSvK091a+GlazhU+yX/O0oJBZPRWvFB/8vMgyjM63XB+KX7XfcCifNFe0RD03somB733ZEHWTIDF86XDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:45.771430Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.0504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c291cd230c5b7f2298c9cc2e520b366029b11a1c7aab0cc2768b22e5333f871","sha256:6de433ca39860227d5df1f1fec97be407de85dc652c271b88861de17fb68ec29"],"state_sha256":"cffd5c890f9d2f85fdd3f1851c2decc5bd8c4fb48f36940fd016882435a74a21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BERqdBYv8UqZ/Gws8M6Wk3ZggItBGcJNugVpBSRXYvPTIerWCIgaK/+n2cAXDtQehHKYp0TXh4V7qOXS2mvCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T03:58:32.706203Z","bundle_sha256":"44e3b2ae9f9ad19237e3ea8faa48bd2f286c2d521b61b348166d465fb1e707fb"}}